Vector's map has the scale missing. He knows that the distance for the lake to the youth center is 8 miles. On the map, they are
2 answers:
Answer:
<h2>The scale factor is 1/4.</h2>Step-by-step explanation:
Givens
- The actual distance from the lake to the youth center is 8 miles.
- On the map, the distance is 2 inches.
According to the problem, each 2 inches are equivalent to 8 miles of actual distance.
The scale factor can be found by dividing
Therefore, the scale factor of Vector's map is 1/4, because the actual distance is 4 times bigger.
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Answer:
And we can find this probability with this difference:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount of cofee shops of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
Answer:
The domain of the function (cd)(x) will be all real values of x except x = 2.
Step-by-step explanation:
The two functions are and d(x) = x + 3
So, (cd)(x) =
Then, for x = 2 the function (cd)(x) will be undefined as zero in the denominator will make the function (cd)(x) undefined.
Therefore, the domain of the function (cd)(x) will be all real values of x except x = 2. (Answer)